Abstract
We theoretically study the upper critical magnetic fields at zero temperature in a quasi-two-dimensional (Q2D) superconductor in the parallel and perpendicular fields, \(H_{c2}^\parallel(0)\) and \(H_{c2}^\perp(0)\), respectively. We find that \(H_{c2}^\parallel(0)\approx0.75|dH_{c2}^\parallel/dT|_{T{_c}}T_c\) and that \(H_{c2}^\perp(0)\approx0.75|dH_{c2}^\perp/dT|_{T{_c}}T_c\) , where \(dH_{c2}^\parallel/dT|_{T_{c}}\) and \(dH_{c2}^\perp/dT|_{T_{c}}\) are the corresponding Ginzburg-Landau slopes of the upper critical magnetic fields. Our results demonstrate the breakdown of the so-called effective mass model in Q2D case and may be partially responsible for the experimentally observed deviations from the effective mass model in a number of layered superconductors, including MgB2.
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Acknowledgments
I am grateful to N.N. Bagmet (Lebed) and S.L. Budko for useful discussions.
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Lebed, A.G. Layered Superconductor in a Magnetic Field: Breakdown of the Effective Mass Model. Jetp Lett. 110, 173–177 (2019). https://doi.org/10.1134/S0021364019150025
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DOI: https://doi.org/10.1134/S0021364019150025